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15th IAEE European Conference
3 - 6 September 2017
Vienna, Austria
Fabian Moisl1, Wolfgang Prüggler2,Georg Lettner1
1Technische Universität Wien, Energy Economics Group2MOOSMOAR Energies OG
LEAFS – Assessment of Electricity Storage
System and Flexible Loads in the
Distribution Grid
Table of contents
• Overview and Introduction
• Methodology
• Input data and assumptions
• Results
• Conclusions and outlook
4.9.2017 2
Overview
• Generic distribution network section consisting of 207 customers (private households
and small businesses).
• A private household may have distributed generation (PV system), a battery storage
system and/or flexible loads.
• Each household pursues a operation strategy for its storage systems and flexible
loads (e.g. minimize electricity procurement costs).
4.9.2017 3
Figure 1. Schematic representation of the distribution grid section. APA-Auftragsgrafik, Source: AIT
Method 1/3
• A household (prosumer) may have a PV system, a battery storage system, flexible
and inflexible load and pursues an operation strategy.
• Each operation strategy is represented by a linear optimization problem (min. costs):
4.9.2017 4
Figure 2. Schematic representation of a prosumer.
Method 2/3
General constraints of the optimization problem:
Constraints due to demand response of flexible loads (electric loads with thermal
storage such as refrigerators, freezers, water boilers, heat pumps, radiators):
4.9.2017 5
Operation strategy Parameters and constraints
Maximize self-consumption
Method 3/3 - Overview of different operation strategies
4.9.2017 6
Operation strategy Parameters and constraints
Maximize self-consumption
Minimize electricity procurement
costs
Operation strategy Parameters and constraints
Maximize self-consumption
Minimize electricity procurement
costs
Minimize PV curtailment
Operation strategy Parameters and constraints
Maximize self-consumption
Minimize electricity procurement
costs
Minimize PV curtailment
Minimize procurement power
Input Data and Assumptions
• Household-load time series were generated by means of a load profile generator [1]
considering the household’s annual energy consumption.
• PV generation time series are based on historical time series.
4.9.2017 7
Parameter Value Unit
Electricity price (constant) 6.5 ct./kWh
Electricity price (time variable), EPEX
Spot Intraday Continuous DE/AT 2016
Ø 6.5 ct./kWh
Grid tariff kWh rate 5 ct./kWh
Grid tariff kW rate 40 EUR/(kW*a)
Taxes 3 ct./kWh
PV remuneration 4.5 ct./kWh
PV feed-in limit as fraction of the
installed capacity
70 %
Flexible electric load Deferral
period (h)
water boiler 12
heat pump 1
radiator 1
refrigerator 1
freezers 4
Table 2. Deferral periods of various
flexible electric loads according to [2].Table 3. Assumptions regarding electricity costs and tariffs.
Own presumptions based on [3].
Economic parameters for discounted cashflow analysis
• aDSM cost: 80 EUR/yr. (hardware + installation cost)
• Customer interest rate = 2%/yr; average inflation rate = 2%/yr
• Inverter change after 10 years (extra cost of 1 kEUR considered)
• Random variation of revenues (for each operation strategy (see next slides) as of changing PV
generation and consumption patterns) within 10% bandwidth
4.9.2017 8
Storage parameter (Fronius Battery Systems) Value Unit
Useable capacity (at DOD = 80%) 3.6 4.8 7 kWh
Customer price incl. space cost, installation, discounts, subsidies and
taxes (manufacturer's information)
8.3
(2.31)
9.4
(1.96)
11.7
(1.67)
kEUR
(kEUR/kWh)
Cycle lifetime 7000 cycles
calendric lifetime (= evaluation period) 20 years
Installation cost 1.5 kEUR
space cost 250 EUR/m2
Subsidy (based on nominal capacity) 400 EUR/kWh
Average storage operation cost [4] 2.2 EUR/(kWh*yr)
Taxes 20 %
customer discount 10 %
Results duration curves
4.9.2017 9
Figure 3. Duration curve of accumulated load flow at the substation of the distribution grid segment.
‚baseline‘ = no storage/ no flexible load; ‚max. self-consumption‘ = fixed kWh-based el. prices; ‚min. el. procurement
cost‘ = time variable end-user prices; ‚min. procurement power‘= 40 EUR/kW*yr. kW-based grid tariff.
0
50
100
150
200
250
3.6 kWh
Re
ve
nu
es
in
[€
/yr]
Storage and aDSM revenues at strategy: max. self
consumption
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay
DCFmicroeconomicview(225storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview(215storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview(173storagecycles/yr)
Results for operation strategy: max. self-consumption
4.9.2017 10
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
Inverter change in
year 11
0
50
100
150
200
250
300
350
3.6 kWh
Re
ven
ue
s i
n [€
/yr]
Storage and aDSM revenues at strategy: min. el.
procurement cost
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay
DCFmicroeconomicview(393storagecycles/yr)
-€500
-€450
-€400
-€350
-€300
-€250
-€200
-€150
-€100
-€50
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview(419storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview(371storagecycles/yr)
Results for operation strategy: min. electricity procurement
cost
4.9.2017 11
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
Inverter change in
year 11
0
50
100
150
200
250
300
aDSM
Rev
en
ue
s in
[€
/yr]
aDSM revenues at strategy: min. el. procurement cost
-€100
-€50
€-
€50
€100
€150
€200
1234567891011121314151617181920
DiscountedCashFlowin[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay/Surplus
DCFmicroeconomicview
-€100
-€90
-€80
-€70
-€60
-€50
-€40
-€30
-€20
-€10
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview
-€100
-€90
-€80
-€70
-€60
-€50
-€40
-€30
-€20
-€10
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview
Results for operation strategy: min. electricity procurement
cost
4.9.2017 12
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
0
50
100
150
200
250
300
350
400
450
3.6 kWh
Re
ven
ue
s i
n [€
/yr]
Storage and aDSM revenues at strategy: min. el.
procurement power
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay
DCFmicroeconomicview(234storagecycles/yr)
-€400
-€350
-€300
-€250
-€200
-€150
-€100
-€50
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview(209storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview(141storagecycles/yr)
Results for operation strategy: min. procurement power
4.9.2017 13
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
0
50
100
150
200
250
300
aDSM
Rev
en
ue
s in
[€
/yr]
aDSM revenues at strategy: min. el. procurement power
-€100
-€50
€-
€50
€100
€150
€200
1234567891011121314151617181920
DiscountedCashFlowin[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay/Surplus
DCFmicroeconomicview
-€100
-€90
-€80
-€70
-€60
-€50
-€40
-€30
-€20
-€10
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview
-€100
-€90
-€80
-€70
-€60
-€50
-€40
-€30
-€20
-€10
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview
Results for operation strategy: min. procurement power
4.9.2017 14
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
Conclusions and Outlook
Outlook
4.9.2017 15
• Fixed kWh-based end-user prices and tariffs
(OS. max. self-consumption) do not provide
incentives to operate a storage system/flexible
loads in a grid beneficial way (no reduction in
accumulated peak load or peak feed-in)
• Time variable end-user electricity prices
result in significantly higher peak loads (+80%)
at substations (high simultaneity).
• A reduction of the individual customers peak
load does not reduce the peak load at the
substation (due to lack of simultaneity).
• ‘Willingness to pay’ for battery storage
systems needed of about 200 – 500 EUR/yr.
• Comparison to bulk battery energy
storage system (100kWh).
• Voltage band consideration (power system
simulation)
• Possible increase in consumption due to a
shift from kWh-based to kW-based prices
was not considered but should be kept in mind
(energy efficiency).
Acknowledgements
This paper is based on the research project "LEAFS - Integration of Loads and
Electric Storage Systems into advanced Flexibility Schemes for LV Networks".
The project LEAFS is funded by the Austrian Climate and Energy Fund within
the programme Energieforschung 2014.
4.9.2017 16
References
4.9.2017 17
[1] W. Gawlik et al. „aDSM - Aktives Demand-Side-Management durch Einspeiseprognose“,
FFG‐Forschungsprojekt, NE2020, 5. AS, Projektnummer: 834612, Endbericht, Wien, April 2014.
[2] de Bruyn, K., Kollmann, A., Moser, S., Schmidthaler, M., Amann, C., Elbe, C., Schmautzer,
E., Kraussler, A., Reinofer-Gubisch, M., Pucker, J., et al. (2014). LoadShift: Lastverschiebung in
Haushalt, Industrie, Gewerbe und kommunaler Infrastruktur - Potenzialanalyse für Smart Grids (Linz
und Graz). Berichte aus Energie- und Umweltforschung
[3] E-Control Tariff calculator, https://www.e-control.at/konsumenten/service-und-
beratung/toolbox/tarifkalkulator , as consulted online on 26 April 2017.
[4] Leipziger Institut für Energie, „Wirtschaftlichkeit Batteriespeicher”, Kurzexpertise, Leipzig
2014
FABIAN MOISL
Technische Universität Wien
Institute of Energy Systems and Electrical Drives
Energy Economics Group – EEG
Gußhausstraße 25-29 / E370-3
1040 Vienna, Austria
[T] +43 1 58801 370373
[W] www.eeg.tuwien.ac.at
Methodology:
Summing discounted cashflows over the lifetime/investment-period of a project.
0
1 )1(C
r
CNPV
n
tt
t
NPV Net Present Value [€]
n Lifefime/investment-period [y]
Ct Cash flow in year t [€]
r rate of return [1]
C0 Initial investment [€]
C0
t0 t
[€/y]
cash flows
cash receipts
cash payments
+
-
discounted CF
t1 t2 t3 t4
NPV
Discounted cash flow, Net present value (NPV)
0
100
200
300
400
500
600
700
800
3.6 kWh 4.8 kWh 7.2 kWh
Reven
ues in
[€/y
r]
Boxplot: Storage and aDSM revenues @ strategy max. self consumption
Appendix - Revenue parameters I
4.9.2017 20
Appendix - Revenue parameters II
4.9.2017 21
0
100
200
300
400
500
600
700
800
900
1000
3.6 kWh 4.8 kWh 7.2 kWh
Reven
ues
in
[€/y
r]
Boxplot: Storage and aDSM revenues @ min. el. procurement cost
Appendix - Revenue parameters III
4.9.2017 22
0
100
200
300
400
500
600
700
800
3.6 kWh 4.8 kWh 7.2 kWh
Reven
ues
in
[€/y
r]
Boxplot: Storage and aDSM revenues @ strategy min. el procurement power
0
50
100
150
200
250
3.6 kWh
Re
ve
nu
es
in
[€
/yr]
Storage and aDSM revenues at strategy: max. self
consumption
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay
DCFmicroeconomicview(225storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview(215storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview(173storagecycles/yr)
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
0
50
100
150
200
250
3.6 kWh
Re
ve
nu
es
in
[€
/yr]
Storage and aDSM revenues at strategy: max. self
consumption
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMAX@futurecost
Willingnesstopay
DCFmicroeconomicview(225storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMEDIAN@futurecost
Willingnesstopay
DCFmicroeconomicview(215storagecycles/yr)
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMIN@futurecost
Willingnesstopay
DCFmicroeconomicview(173storagecycles/yr)
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
Future cost estimation:
LiIon cell prices decline
to 20% of current values
0
50
100
150
200
250
300
350
400
450
7.2 kWh
Re
ve
nu
es
in
[€
/yr]
Storage and aDSM revenues at strategy: max. self
consumption
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMAX
Willingnesstopay
DCFmicroeconomicview(240storagecycles/yr)
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMEDIAN
Willingnesstopay
DCFmicroeconomicview(172storagecycles/yr)
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
CashflowEberstalzell:RevenuesMIN
Willingnesstopay
DCFmicroeconomicview(75storagecycles/yr)
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
0
50
100
150
200
250
300
350
400
450
7.2 kWh
Re
ve
nu
es
in
[€
/yr]
Storage and aDSM revenues at strategy: max. self
consumption
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
€100
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMAX@futurecost
Willingnesstopay
DCFmicroeconomicview(240storagecycles/yr)
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
€100
1234567891011121314151617181920DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMEDIAN@futurecost
Willingnesstopay
DCFmicroeconomicview(172storagecycles/yr)
-€800
-€700
-€600
-€500
-€400
-€300
-€200
-€100
€-
1234567891011121314151617181920
DiscountedCashFlowin
[€/yr]
Yearofopera on
Eberstalzell:RevenuesMIN@futurecost
Willingnesstopay
DCFmicroeconomicview(75storagecycles/yr)
MIN
MAX
MEDIAN
Revenue bandwith:
[MAX; MAX*0.9]
Revenue bandwith:
[MED*1.1; MED*0.9]
Revenue bandwith:
[MIN*1.1; MIN]
Future cost estimation:
LiIon cell prices decline
to 20% of current values
-€600
-€500
-€400
-€300
-€200
-€100
€-
1 2 3 4 5 6 7 8 9 1011121314151617181920
DiscountedCashFlowin[€/yr]
Yearofopera on
Eberstalzell:4.8kWh_MEDIAN_incl.systemandmacroeconomiceffects
Willingnesstopay
DCFmicroeconomicview(208storagecycles/yr)
DCFincl.grideffects
DCFincl.gridandmacroeconomiceffects
Evaluation outlook
4.9.2017 27